Modeling the Growth/No-Growth Boundaries of Postprocessing Listeria monocytogenes Contamination on Frankfurters and Bologna Treated with Lactic Acid

This study developed models to predict lactic acid concentration, dipping time, and storage temperature combinations determining growth/no-growth interfaces of Listeria monocytogenes at desired probabilities on bologna and frankfurters. L. monocytogenes was inoculated on bologna and frankfurters, and 75 combinations of lactic acid concentrations, dipping times, and storage temperatures were tested. Samples were stored in vacuum packages for up to 60 days, and bacterial populations were enumerated on tryptic soy agar plus 0.6% yeast extract and Palcam agar on day zero and at the end point of storage. The combinations that allowed L. monocytogenes increases of ≥1 log CFU/cm² were assigned the value of 1 (growth), and the combinations that had increases of <l log CFU/cm² were given the value of 0 (no growth). These binary growth response data were fitted to logistic regression to develop a model predicting probabilities of growth. Validation with existing data and various indices showed acceptable model performance. Thus, the models developed in this study may be useful in determining probabilities of growth and in selecting lactic acid concentrations and dipping times to control L. monocytogenes growth on bologna and frankfurters, while the procedures followed may also be used to develop models for other products, conditions, or pathogens.     

Expanded response surface model for predicting the effects of temperatures, pH, sodium chloride contents and sodium nitrite concentrations on the growth rate of Yersinia enterocolitica

The previously reported data set for the low temperature (5, 12 and 19°C) of Yersinia enterocolitica was expanded to include higher abusive temperature (28, 37 and 42°C). In addition to temperature, the data set included the effects and interactions of pH (4.5–8.5), sodium chloride (0.5-5%) and sodium nitrite (0-200 μg ml^-1) on the aerobic growth of Y. enterocolitica in brain heart infusion broth. Growth curves were modeled by fitting viable count data to the Gompertz equation. Quadratic models of natural logarithm transformations of the Gompertz B and M values and the derived values for lag phase durations and generation times were obtained using response surface analyses. Predictions based on the models for B and M values were comparable to predictions based on the derived values. These revised models provide an expanded means for rapidly estimating how the bacterium is likely to respond to any combination of the four variables within the specified ranges.     

Fermenting Escherichia coli Is Able to Grow in Media of High Osmolarity, But Is Sensitive to the Presence of Sodium Ion

Escherichia coli is able to grow at increased NaCl concentrations that provides an increase in medium osmolarity and cellular Na⁺ content. The addition of 0.5 M NaCl to the growth medium led to a substantial decrease in growth rate during anaerobic fermentation on glucose at pH of 7.3 or 9.0. This inhibitory effect of 0.5 M NaCl was at least threefold stronger than that seen under aerobic conditions, and stronger than equivalent concentrations of sucrose, KCl, or potassium glutamate under anaerobic conditions. Further, proline was found to stimulate the growth rate at high NaCl concentration under anaerobic and to a lesser extent, under aerobic conditions. Wild-type cells and mutants having a functional NhaA or ChaA alone grown under anaerobic conditions at pH 9.0 and subsequently loaded with Na⁺ were shown to extrude Na⁺ at a rate that were lower than the extrusion rate reported for appropriate aerobically grown bacteria (Sakuma et al. [1998] Biochim Biophys Acta 1363:231–237). The growth rate and Na⁺ extrusion activity of a mutant having a functional NhaA were similar to that of the wild type and higher than that of a mutant with an active ChaA. A mutant defective for both NhaA and ChaA was unable to grow under anaerobic conditions at pH 9.0 in the presence of 0.15 M Na⁺. It is suggested that the observed strong inhibition in the growth of E. coli during fermentation under anaerobic conditions in the presence of increased NaCl concentration could be due to a decrease in Na⁺ extrusion activity. Received: 18 September 1998 / Accepted: 2 April 1999     

Effect of NaCl, pH, temperature, and atmosphere on growth of Salmonella typhimurium in glucose-mineral salts medium

The interactions of pH (5.0, 6.0, and 7.0), temperature (19, 28, and 37 degrees C), and atmosphere (aerobic versus anaerobic) with NaCl (0, 1, 2, 3, 4, and 5%) on the growth of Salmonella typhimurium ATCC 14028 in defined glucose-mineral salts culture medium were evaluated. Response surface methodology was used to develop equations describing the response of S. typhimurium to environmental changes. The response to an increasing concentration of NaCl at any temperature tested was nonlinear. The maximum growth was predicted to occur at an NaCl concentration of 0.5%, a temperature of 19 degrees C, and an initial pH of 7.0 under aerobic growth conditions. The relative amounts of aerobic growth at 19 degrees C, pH 7.0, and NaCl concentrations of 0, 0.5, 1, 2, 3, 4, and 5% were predicted to be 99.2, 100.0, 98.8, 90.2, 73.5, 48.6, and 15.6%, respectively. Anaerobic growth conditions repressed the amount of growth relative to that under aerobic conditions, and the effects of NaCl and pH were additive at low salt concentrations; however, at higher salt levels anaerobiosis provided protection against the effects of NaCl.     

Effect of NaCl, pH, temperature, and atmosphere on growth of Salmonella typhimurium in glucose-mineral salts medium.

The interactions of pH (5.0, 6.0, and 7.0), temperature (19, 28, and 37 degrees C), and atmosphere (aerobic versus anaerobic) with NaCl (0, 1, 2, 3, 4, and 5%) on the growth of Salmonella typhimurium ATCC 14028 in defined glucose-mineral salts culture medium were evaluated. Response surface methodology was used to develop equations describing the response of S. typhimurium to environmental changes. The response to an increasing concentration of NaCl at any temperature tested was nonlinear. The maximum growth was predicted to occur at an NaCl concentration of 0.5%, a temperature of 19 degrees C, and an initial pH of 7.0 under aerobic growth conditions. The relative amounts of aerobic growth at 19 degrees C, pH 7.0, and NaCl concentrations of 0, 0.5, 1, 2, 3, 4, and 5% were predicted to be 99.2, 100.0, 98.8, 90.2, 73.5, 48.6, and 15.6%, respectively. Anaerobic growth conditions repressed the amount of growth relative to that under aerobic conditions, and the effects of NaCl and pH were additive at low salt concentrations; however, at higher salt levels anaerobiosis provided protection against the effects of NaCl.     

Experimental design of a simple medium for the bioluminescence of Aliivibrio fischeri and mathematical modelling for growth estimation

Increasing numbers of studies are using Aliivibrio fischeri (A. fischeri), a marine bioluminescent bacterium as a model, however the culture medium used for its growth are complex and expensive. The objectives of this study were: (1) to evaluate the effect of yeast extract, tryptone, and NaCl to select a simple and inexpensive culture medium suitable for A. fischeri growth and bioluminescence induction; and (2) to compare the performance of mathematical models to predict the growth of A. fischeri. A fractional factorial design was performed to evaluate the effect of yeast extract, tryptone, and sodium chloride on the luminescence of A. fischeri. The result showed that sodium chloride is the most important factor, congruent with its inducer role in bioluminescence. The best medium for bioluminescence induction was selected through an optimization plot, this medium is inexpensive, and generates the same luminescence as commercial formulations. The estimation of A. fischeri growth at OD₆₀₀ measurement was statistically analyzed. All evaluated models fitted the data adequately (r²  > 0.96). The nonlinear models Gompertz, Richards and logistic provided a lower variation and a better fit of the growth estimation (r² >0.99), showing that these mathematical models can be used for the accurate growth prediction of A. fischeri.     

Predictive model for growth of <Emphasis Type="Italic">Listeria monocytogenes</Emphasis> in untreated and treated lettuce with alkaline electrolyzed water

This study was performed to develop predictive models for the growth kinetics of Listeria monocytogenes in Ready-to-Eat (RTE) lettuce treated with or without alkaline electrolyzed water. Firstly, growth curves of L. monocytogenes in treated and untreated RTE lettuce were obtained at several isothermal conditions (4, 10, 15, 20, 25, 30, and 35°C) and were then fitted into Gompertz model with a high correlation coefficient (R ² > 0.99). Growth parameters such as growth rate (GR) and lag time (LT) estimated by Gompertz model were found mostly have significant difference (P < 0.05) with those predicted by Combined database for predictive microbiology (ComBase). Moreover, increased GR and decreased LT were observed with increasing storage temperatures from 4 to 35°C and untreated lettuce showed lowest GR or longest LT, and followed by treated lettuce and ComBase, respectively. Furthermore, square root equation was employed to establish the secondary models for the GR to evaluate the effect of different storage temperatures on the growth rate of L. monocytogenes in untreated lettuce and treated lettuce. After that, verification of the developed models has been carried out using several mathematical or statistical indicators such as R ², the average mean square error (MSE), bias factor (B _f) and accuracy factor (A _f). It showed that R ² values were close to 1 (>0.95), and MSE calculated from models of untreated and treated lettuce were 0.0011 and 0.0008, respectively. Also, B _f values of 0.980 and 1.034 and A _f values of 1.107 and 1.118 were all in the acceptable range. This demonstrated that overall predictions showed good agreement with the experimental values, indicating success at providing reliable predictions of L. monocytogenes growth in RTE lettuce.     

Modelling the growth of Japanese eel Anguilla japonica in the lower reach of the Kao-Ping River, southern Taiwan: an information theory approach

Information theory was applied to select the best model fitting total length ( L _T)-at-age data and calculate the averaged model for Japanese eel Anguilla japonica compiled from published literature and the differences in growth between sexes were examined. Five candidate growth models were the von Bertalanffy, generalized von Bertalanffy, Gompertz, logistic and power models. The von Bertalanffy growth model with sex-specific coefficients was best supported by the data and nearly overlapped the averaged growth model based on Akaike weights, indicating a similar fit to the data. The Gompertz, generalized von Bertalanffy and power growth models were also substantially supported by the data. The L _T at age of A. japonica were larger in females than in males according to the averaged growth mode, suggesting a sexual dimorphism in growth. Model inferences based on information theory, which deal with uncertainty in model selection and robust parameter estimates, are recommended for modelling the growth of A. japonica .     

Modelling and predicting the simultaneous growth of Listeria monocytogenes and spoilage micro-organisms in cold-smoked salmon

Aims: To evaluate and model the simultaneous growth of Listeria monocytogenes and spoilage micro-organisms in cold-smoked salmon. Methods and Results: Growth kinetics of L. monocytogenes, lactic acid bacteria (LAB), Enterobacteriaceae, enterococci and Photobacterium phosphoreum were determined in two series of challenge tests with sliced and vacuum-packed cold-smoked salmon (SVP-CSS). The product contained a high level of smoke components and at 2°C levels of L. monocytogenes increased <100-fold in 193 days. Without the addition of spoilage micro-organisms, L. monocytogenes reached ca 10⁸ CFU g⁻¹ at 5, 10, 17·5 and 25°C. Inoculation with spoilage micro-organisms reduced this level to 10²–10⁴ CFU g⁻¹. LAB dominated the spoilage microfora of SVP-CSS and competition between LAB and L. monocytogenes in SVP-CSS was appropriately described by a simple expansion of the Logistic model. This interaction model aided in predicting the growth of L. monocytogenes in naturally contaminated SVP-CSS when it was used in combination with expanded versions of existing secondary models for L. monocytogenes and LAB. Conclusions: Temperature, water activity/NaCl, simultaneous growth of LAB, smoke components and to a lesser extent lactate and pH control growth of L. monocytogenes in SVP-CSS. These factors must be included in mathematical models to predict growth of the pathogen in this product. Significance and Impact of the Study: The suggested predictive model can be used to support assessment and management of the human health risk due to L. monocytogenes in SVP-CSS.     

The use of automated tubidimetric data for the construction of kinetic models

Summary An automated tubidimetric instrument (Bioscreen) was used to observe the growth response ofListeria monocytogenes to combinations of temperature (15–30°C), hydrogen-ion (0.1–21.9 m) (equivalent pH 4.66–7.0) and NaCl concentration (0.5–9.5% w/v). Compared to traditional plate count techniques, the technique allowed many more data points to be captured and replicates to be used, with less expenditure of effort. Optical density curves were filtered (smoothed) to minimize the effect of signal noise and the mean signal from uninoculated wells was subtracted to minimize the effect of signal draft. A novel procedure for fitting growth curves to optical density data has been developed. The procedure involves the use of the logistic function and a calibration equation for fitting, in a single step, in the dimension of optical density. This approach allowed the four parameters of the logistic equation to be derived at each set of experimental conditions. A quadratic response surface was then fitted to the curve parameters using temperature, NaCl and hydrogen-ion concentration as three independent variables. Predicted time to 1000-fold increase in cell numbers compared well to predictions from predictive microbial growth equations generated in other laboratories using traditional plate counting. We propose that this technique should be further evaluated as a method for generating data for modeling the kinetics of microbial growth.Mention of brand or firm names does not constitute an endorsement by the US Department of Agriculture over others of a similar nature not mentioned.     

Effect of extreme salt concentrations on the physiology and biochemistry of Halobacteroides acetoethylicus.

Halobacteroides acetoethylicus grew in media with 6 to 20% NaCl and displayed optimal growth at 10% NaCl. When grown in medium with an [NaCl] of 1.7 M, the internal cytoplasmic [Na+] and [Cl-] were 0.92 and 1.2 M, respectively, while K+ and Mg2+ concentrations in cells were 0.24 and 0.02 M, respectively. Intracellular [Na+] was fourfold higher than intracellular [K+]. Since Na+ and Cl- ions were not excluded from the cell, the influence of high salt concentrations on key enzyme activities was investigated in crude cell extracts. Activities greater than 60% of the maximal activity of the following key catabolic enzymes occurred at the following [NaCl] ranges: glyceraldehyde-3-phosphate dehydrogenase, 1 to 2 M; alcohol dehydrogenase (NAD linked), 2 to 4 M; pyruvate dehydrogenase, 0.5 to 1 M; and hydrogenase (methyl viologen linked), 0.5 to 3 M. These studies support the hypothesis that obligately halophilic, anaerobic eubacteria adapt to extreme salt concentrations differently than do halophilic, aerobic eubacteria, because they do not produce osmoregulants or exclude Cl-. This study also demonstrated that these halophilic, anaerobic eubacteria have a physiological similarity to archaebacterial halophiles, since Na+ and Cl- are present in high concentrations and are required for enzymatic activity.     

A predictive model for the growth rate of Bacillus cereus in broth by response surface methodology

A response surface methodology (RSM) was developed for predicting the growth rate of Bacillus cereus in a tryptic soy broth medium as a function of temperature (10 to 40°C), pH (5.5 to 8.5), and the NaCl concentration (0 to 8%). The primary model showed a good fit (r² = 0.920 to 0.999) to a Gompertz equation to obtain growth rates each condition. The quadratic polynomial model was found to be significant (p < 0.0001) and predicted values were found to be in good agreement with experimental values (R² value of 0.9486). The evaluation of RSM for describing the growth rate of B. cereus used the bias factor (B_f) and the accuracy factor (A_f). Both the B_f value (1.11) and the A_f value (1.50) were within acceptable ranges. This model was provided an efficient and accurate method for predicting the growth of B. cereus as a function of the controlling factors.     

Comparison of growth limits of Listeria monocytogenes in milk,broth and cheese

Aim: To determine growth initiation differences of Listeria monocytogenes between a cheesemaking context, milk and tryptic soy broth (TSB). Methods and Results: A laboratory‐scale cheese was made with a mix of two strains of L. monocytogenes at four initial pH values, five water activity (a_w) values and two contamination levels at 30°C. Counts of L. monocytogenes were determined at time 0 and after 8 h of cheese manufacture. Milk and TSB at the same pH and a_w conditions were inoculated with the L. monocytogenes mix in multi‐well plates. Growth was determined by plating each well onto Agosti & Ottaviani Listeria Agar after 8 h of incubation at 30°C. Each condition was repeated six times, and growth initiation probability was modelled with logistic regression models. Growth initiation boundaries were obtained for each matrix type. The results showed that the growth limits were matrix dependent. In the three matrix types, a_w was the most important factor affecting the probability of growth initiation. Contamination level affected growth TSB and cheesemaking conditions. Conclusions: The interface wideness and position in cheese, milk and TSB were dissimilar, indicating that the use of models evaluated in TSB or milk could not be used to predict the behaviour of L. monocytogenes under cheesemaking conditions. Significance and Impact of the Study: Predictive models generated in liquid media are not necessarily adaptable to solid food, and the generation of real food models is necessary.     

Use of Gradient Plates To Study Combined Effects of Temperature, pH, and NaCl Concentration on Growth of Monascus ruber van Tieghem, an Ascomycetes Fungus Isolated from Green Table Olives

The effect of temperature, pH, and sodium chloride concentration on the growth of the Ascomycetes fungus Monascus ruber van Tieghem, the main spoilage microorganism during storage of table olives, was studied by using the gradient plate technique. Gradients of NaCl (3 to 9%, wt/vol) at right angles to gradients of pH (2 to 6.8) were prepared for the plates, which were incubated at 25, 30, and 35°C. Visible fungal growth, expressed in optical density units, was recorded by image analysis and graphically presented in the form of three-dimensional grids. Results obtained from the plates indicated that the fungus was salt and acid tolerant, being able to grow at NaCl concentrations of up to 9% (wt/vol) and pH values of as low as 2.2, depending on the incubation temperature. The inhibitory effect of NaCl increased as the pH decreased progressively at 25 and 30°C but not at 35°C. Growth was better at 30 and 25°C as judged by the larger extent of the plates covered by mycelium compared with that at 35°C, where no growth was observed at pHs below 3.7. Differentiation between vegetative (imperfect-stage) and reproductive (perfect-stage) growth was evident on all plates, providing useful information about the effect of environmental conditions on the form of fungal growth. When the growth/no-growth surface model was obtained by applying linear logistic regression, it was found that all factors (pH, NaCl, and temperature) and their interactions were significant. Plots of growth/no-growth interfaces for P values of 0.1, 0.5, and 0.9 described the results satisfactorily at 25 and 35°C, whereas at 35°C the model predicted lower minimum pH values for growth in the range of 7 to 10% NaCl than those observed on the plates. Overall, it is suggested that the fungus cannot be inhibited by any combination of pH and NaCl within the limits of the brine environment, so further processing is required to ensure product stability in the market.     

Antimicrobial activities of therapeutic herbal plants against Listeria monocytogenes and the herbal plant cytotoxicity on Caco-2 cell

Aims: This study investigated the antimicrobial effect of various therapeutic herbal plants on Listeria monocytogenes, and their cytotoxicity effect on mammalian cells. Methods and Results: The extracts from 69 therapeutic herbal plants were used to investigate the effect on the growth inhibition of L. monocytogenes, and their minimal inhibition concentrations and minimal bactericidal concentrations were determined. Among the plants, Psoraleae semen L. (Bogolji) and Sophorae radix L. (Gosam) extracts, which showed obvious antilisterial activity, were examined for the stability to heat, NaCl and acidic condition. Moreover, cytotoxicities of Bogolji and Gosam were tested, using Caco‐2 cells. L. monocytogenes growth was completely inhibited by Bogolji and Gosam extracts at 3·2–6·3 and 50–100 AU ml^?1, respectively, and heat, NaCl and acidic condition did not affect the antilisterial activity of Bogolji and Gosam. Cytotoxic activities were observed only at high concentration (50 AU ml^?1) of Bogolji extract. Conclusion: Bogolji and Gosam could be considered as potential phytochemicals to control L. monocytogenes. Significance and Impact of the Study: Use of therapeutic herbal plants should be useful in controlling L. monocytogenes, because most consumers have better acceptance for phytochemicals than synthetic chemicals.     

Chemolithotrophic sulfur bacteria in sediments,mats, and stromatolites of western Australian saline lakes

Samples of stromatolites, microbial mats, and sediments from four saline lakes (approximate seasonal salinity ranges 20–220%o) in Western Australia were used to establish enrichments for elective cultures of aerobic and anaerobic denitrifying chemolithoautotrophs that could grow with thiosulfate as sole energy source. Organisms of these types were obtained from all sources tested. Twenty‐four pure cultures were isolated, all of which were gram‐negative, rod‐shaped bacteria exhibiting a considerable diversity of metabolic capability. Isolation of these obligate and facultative sulfur‐oxidizing chemolithotrophs from the stromatolite and mat habitats indicates the possibility that these rod‐shaped bacteria contribute to the oxidative phase of the sulfur cycle in these habitats, in addition to oxidation by phototrophs or Beggiatoa. Only four of the pure cultures could grow without salt, but all 24 showed significant halophily, some tolerating 3 M NaCl. Three novel isolates of NaCl‐dependent, thiosulfate‐oxidizing, aerobic and denitrifying obligate chemolithotrophs are described. In addition, a facultatively heterotrophic halophilic strain growing either methylotrophically on methylamine or chemolithotrophically on thiosulfate aerobically or with anaerobic denitrification was found.     

Analysis of growth patterns in purebred Kambing Katjang goat and its crosses with the German Fawn

The objective of this study was to investigate growth patterns of goats utilizing data from a crossbreeding program involving the exotic German Fawn (GF) and the indigenous Kambing Katjang (KK) goats. Growth curve models and growth curve parameters were compared and analyzed for different genotypes and litter types. A total of 20,393 weight–age data from 208 female goats belonging to various crossbreeding genotypes were individually fitted to four growth curve models (Brody, Bertalanffy, Gompertz and Logistic). The goodness of fit was highest in the Brody model in most cases. A comparison of R² among genotypes showed that they were highest for KK. There were no significant differences of genotypes for estimated mature weight in the Brody model. The estimated mature weights for KK were significantly lower (P < 0.05) than for GF × KK (F₁), backcrosses with 75% GF genes (BC) and F₁ × F₁ (F₂) in the other models. The correlations between estimated mature weights and the maturing rates were lowest for BC. The genotype significantly (P < 0.01) affected the age at the constant degree of maturity (67% and 90% of mature weight) in all models. The BC genotype was the youngest at maturity and KK the oldest. All models well expressed the growth pattern of the target animals when they were older than 2.5 years of age. The results from the present study showed that the growth pattern may be altered by crossbreeding of KK with the GF breed.     

Growth and mortality of larval Myctophum affine (Myctophidae,Teleostei)

The growth and mortality rates of Myctophum affine larvae were analysed based on samples collected during the austral summer and winter of 2002 from south‐eastern Brazilian waters. The larvae ranged in size from 2·75 to 14·00 mm standard length (L_S). Daily increment counts from 82 sagittal otoliths showed that the age of M. affine ranged from 2 to 28 days. Three models were applied to estimate the growth rate: linear regression, exponential model and Laird–Gompertz model. The exponential model best fitted the data, and L₀ values from exponential and Laird–Gompertz models were close to the smallest larva reported in the literature (c. 2·5 mm L_S). The average growth rate (0·33 mm day^?1) was intermediate among lanternfishes. The mortality rate (12%) during the larval period was below average compared with other marine fish species but similar to some epipelagic fishes that occur in the area.